Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equations (Q1784284)

Summary: We study the existence, uniqueness, and various kinds of Ulam-Hyers stability of the solutions to a nonlinear implicit type dynamical problem of impulsive fractional differential equations with nonlocal boundary conditions involving Caputo derivative. We develop conditions for uniqueness and existence by using the classical fixed-point theorems such as Banach fixed-point theorem and Krasnoselskii's fixed-point theorem. For stability, we utilized classical functional analysis. Also, an example is given to demonstrate our main theoretical results.